%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:03:13 PM UTC 2026
% Result : Unsatisfiable 5.52s 1.15s
% Output : Proof 5.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(x,y),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma)]) ).
cnf(g1,plain,
( ~ sPE(y,x)
| sPE(x,y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
sPE(implies(implies(y,y),implies(implies(y,y),implies(y,y))),truth),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_2)]) ).
cnf(g3,plain,
( ~ sPE(implies(y,y),y)
| sPE(y,implies(y,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
sPE(implies(y,truth),implies(truth,y)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).
cnf(g5,plain,
( ~ sPE(implies(y,truth),implies(truth,y))
| ~ sPE(implies(truth,y),y)
| sPE(implies(y,truth),y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
sPE(implies(truth,y),y),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g7,plain,
( ~ sPE(implies(y,truth),y)
| sPE(y,implies(y,truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(y,truth)
| sPE(truth,y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(implies(y,y),y)
| ~ sPE(implies(y,y),y)
| sPE(implies(implies(y,y),implies(y,y)),implies(y,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(implies(truth,x),x),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g11,plain,
( ~ sPE(truth,y)
| ~ sPE(y,implies(y,truth))
| sPE(truth,implies(y,truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
sPE(implies(implies(truth,y),y),implies(implies(y,truth),truth)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_3)]) ).
cnf(g13,plain,
sPE(implies(implies(y,truth),truth),implies(truth,implies(y,truth))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).
cnf(g14,plain,
sPE(implies(truth,implies(y,truth)),implies(y,truth)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g15,plain,
( ~ sPE(implies(y,y),implies(y,truth))
| ~ sPE(implies(y,truth),implies(truth,y))
| sPE(implies(y,y),implies(truth,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(implies(truth,implies(truth,x)),implies(truth,x))
| ~ sPE(implies(truth,x),x)
| sPE(implies(truth,implies(truth,x)),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
sPE(implies(truth,implies(truth,x)),implies(truth,x)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g18,plain,
sPE(implies(implies(truth,x),truth),implies(truth,implies(truth,x))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).
cnf(g19,plain,
( ~ sPE(implies(y,y),implies(truth,y))
| ~ sPE(implies(truth,y),y)
| sPE(implies(y,y),y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(implies(implies(y,y),implies(y,y)),y)
| sPE(y,implies(implies(y,y),implies(y,y))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(implies(truth,y),y)
| sPE(y,implies(truth,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(y,y)
| ~ sPE(y,implies(truth,y))
| sPE(implies(y,y),implies(y,implies(truth,y))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ sPE(y,implies(truth,y))
| ~ sPE(implies(truth,y),y)
| sPE(y,y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
sPE(implies(truth,x),implies(truth,x)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(implies(y,implies(truth,y)),implies(implies(y,truth),truth))
| ~ sPE(implies(implies(y,truth),truth),implies(truth,implies(y,truth)))
| sPE(implies(y,implies(truth,y)),implies(truth,implies(y,truth))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(implies(y,implies(truth,y)),implies(implies(truth,y),y))
| ~ sPE(implies(implies(truth,y),y),implies(implies(y,truth),truth))
| sPE(implies(y,implies(truth,y)),implies(implies(y,truth),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(implies(implies(truth,y),y),implies(y,implies(truth,y)))
| sPE(implies(y,implies(truth,y)),implies(implies(truth,y),y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
sPE(implies(implies(truth,y),y),implies(y,implies(truth,y))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).
cnf(g29,plain,
( ~ sPE(implies(y,implies(truth,y)),implies(truth,implies(y,truth)))
| ~ sPE(implies(truth,implies(y,truth)),implies(y,truth))
| sPE(implies(y,implies(truth,y)),implies(y,truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(implies(y,y),implies(y,implies(truth,y)))
| ~ sPE(implies(y,implies(truth,y)),implies(y,truth))
| sPE(implies(y,y),implies(y,truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
sPE(implies(truth,implies(implies(truth,x),truth)),implies(implies(truth,x),truth)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g32,plain,
sPE(implies(implies(implies(truth,x),truth),truth),implies(truth,implies(implies(truth,x),truth))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).
cnf(g33,plain,
( ~ sPE(implies(truth,implies(implies(truth,x),truth)),implies(implies(truth,x),truth))
| ~ sPE(implies(implies(truth,x),truth),implies(truth,implies(truth,x)))
| sPE(implies(truth,implies(implies(truth,x),truth)),implies(truth,implies(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(y,implies(y,y))
| ~ sPE(implies(y,y),truth)
| sPE(y,truth) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(implies(y,y),implies(implies(y,y),implies(implies(y,y),implies(y,y))))
| ~ sPE(implies(implies(y,y),implies(implies(y,y),implies(y,y))),truth)
| sPE(implies(y,y),truth) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(y,implies(y,y))
| ~ sPE(y,implies(implies(y,y),implies(y,y)))
| sPE(implies(y,y),implies(implies(y,y),implies(implies(y,y),implies(y,y)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(implies(truth,x),truth),truth)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_3)]) ).
cnf(g38,plain,
( ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(implies(truth,x),truth),truth))
| ~ sPE(implies(implies(implies(truth,x),truth),truth),implies(truth,implies(implies(truth,x),truth)))
| sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(truth,implies(implies(truth,x),truth))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(implies(truth,implies(implies(truth,x),truth)),implies(truth,implies(truth,x)))
| ~ sPE(implies(truth,implies(truth,x)),x)
| sPE(implies(truth,implies(implies(truth,x),truth)),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(y,truth)
| ~ sPE(implies(truth,x),implies(truth,x))
| sPE(implies(y,implies(truth,x)),implies(truth,implies(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(implies(implies(y,y),implies(y,y)),implies(y,y))
| ~ sPE(implies(y,y),y)
| sPE(implies(implies(y,y),implies(y,y)),y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(y,implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))))
| ~ sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))
| sPE(y,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g44,plain,
( ~ sPE(y,implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))))
| ~ sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))))
| sPE(y,implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))))
| sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
( ~ sPE(truth,implies(y,truth))
| ~ sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x))))
| sPE(implies(truth,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))),implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g47,plain,
sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_antecedent)]) ).
cnf(g48,plain,
( ~ sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),y)
| sPE(y,implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g49,plain,
( ~ sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),truth)
| ~ sPE(truth,y)
| sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
sPE(implies(implies(y,truth),implies(implies(truth,implies(truth,x)),implies(y,implies(truth,x)))),truth),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_2)]) ).
cnf(g51,plain,
( ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(truth,implies(implies(truth,x),truth)))
| ~ sPE(implies(truth,implies(implies(truth,x),truth)),x)
| sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g52,plain,
( ~ sPE(y,implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))))
| ~ sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),x)
| sPE(y,x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g53,plain,
( ~ sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(truth,x)))
| ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),x)
| sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g54,plain,
( ~ sPE(implies(y,implies(truth,x)),implies(truth,implies(truth,x)))
| ~ sPE(implies(truth,implies(truth,x)),implies(truth,x))
| sPE(implies(implies(y,implies(truth,x)),implies(truth,implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 08:11:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 5.52/1.15 % symbols: 7
% 5.52/1.15 % clauses: 11
% 5.52/1.15 % start clauses: 2
% 5.52/1.15 % iterative deepening steps: 2646
% 5.52/1.15 % maximum path limit: 8
% 5.52/1.15 % literal attempts: 433531
% 5.52/1.15 % depth failures: 180529
% 5.52/1.15 % regularity failures: 40693
% 5.52/1.15 % tautology failures: 67694
% 5.52/1.15 % reductions: 12804
% 5.52/1.15 % extensions: 418391
% 5.52/1.15 % SAT variables: 162685
% 5.52/1.15 % SAT clauses: 221744
% 5.52/1.15 % WalkSAT solutions: 221732
% 5.52/1.15 % CDCL solutions: 10
% 5.52/1.15 % SZS status Unsatisfiable for theBenchmark
% 5.52/1.15 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------